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Finding the Fourth Proportional to 12,457.40, 18,672.93 and 5,431.25

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Solution

The fourth proportional to 12,457.40, 18,672.93 and 5,431.25 is: 8,141.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,457.40 : 18,672.93 = 5,431.25 : x
  2. Step 2: Convert to fraction form
    12,457.40/18,672.93 = 5,431.25/x
  3. Step 3: Cross multiply
    12,457.40x = 18,672.93 × 5,431.25
  4. Step 4: Simplify right side
    12,457.40x = 101,417,397.74
  5. Step 5: Solve for x
    x = 101,417,397.74/12,457.40
  6. Step 6: Final answer
    x = 8,141.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.